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Simplifying 2(d + -3) = -3(-1d + -2) Reorder the terms: 2(-3 + d) = -3(-1d + -2) (-3 * 2 + d * 2) = -3(-1d + -2) (-6 + 2d) = -3(-1d + -2) Reorder the terms: -6 + 2d = -3(-2 + -1d) -6 + 2d = (-2 * -3 + -1d * -3) -6 + 2d = (6 + 3d) Solving -6 + 2d = 6 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -6 + 2d + -3d = 6 + 3d + -3d Combine like terms: 2d + -3d = -1d -6 + -1d = 6 + 3d + -3d Combine like terms: 3d + -3d = 0 -6 + -1d = 6 + 0 -6 + -1d = 6 Add '6' to each side of the equation. -6 + 6 + -1d = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -1d = 6 + 6 -1d = 6 + 6 Combine like terms: 6 + 6 = 12 -1d = 12 Divide each side by '-1'. d = -12 Simplifying d = -12
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